Question

Is there a useful closed form for $\int \frac{x^{p/q}}{1-x}dx$?

score 98 · Answer 1 · 2026-03-28 09:33:32

98

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Is there a useful closed form for $\int \frac{x^{p/q}}{1-x}dx$?

Published on 28 Mar 2026 - 9:33

score 191 · Answer 2 · 2017-01-26 03:32:48

191

Views

what is the coefficient of $x^n$ in the expansion of the function $\frac{x}{1-x-x^2}$?

Published on 26 Jan 2017 - 3:32

score 102 · Answer 3 · 2026-03-26 11:16:23

102

Views

What's about the generating function for the Mertens function?

Published on 26 Mar 2026 - 11:16

score 161 · Answer 4 · 2017-01-27 00:35:57

Generating function for a necklace with white and black beads such that for every white bead there are exactly three black beads that follow.

score 88 · Answer 5 · 2026-03-28 02:50:00

88

Views

Generating functions finding $ a_n $ formula

Published on 28 Mar 2026 - 2:50

score 202 · Answer 6 · 2026-04-02 04:59:36

202

Views

How is this probability generating function in regard to branching obtained

Published on 02 Apr 2026 - 4:59

score 242 · Answer 7 · 2026-03-25 06:34:33

242

Views

Sum of Hermite functions with factorials

Published on 25 Mar 2026 - 6:34

score 84 · Answer 8 · 2017-02-02 16:29:29

84

Views

Generating functions - combinatorics problem of Mirko couting vehicles through the toll

Published on 02 Feb 2017 - 16:29

score 182 · Answer 9 · 2017-02-03 15:48:33

182

Views

super generating functions

Published on 03 Feb 2017 - 15:48

score 69 · Answer 10 · 2017-02-06 07:35:35

69

Views

How do I calculate the sum $\sum_{i=0}^n (-1)^{n-i}{{n}\choose{i}}f(i)$ if I know that $\sum_{n\geq0} f(n)\frac{x^n}{n!} = e^{x+\frac{x^2}{2}}$?

Published on 06 Feb 2017 - 7:35

score 175 · Answer 11 · 2026-03-29 17:25:49

175

Views

Sort of Prime number: ${p(n)=4n^2-4n-1}$

Published on 29 Mar 2026 - 17:25

score 953 · Answer 12 · 2017-02-08 19:10:51

953

Views

In how many ways can we roll a red die, a yellow die, and a black die, and get a sum of $9$?

Published on 08 Feb 2017 - 19:10

score 202 · Answer 13 · 2017-02-09 17:19:48

202

Views

When can formal power series be treated as functions?

Published on 09 Feb 2017 - 17:19

score 99 · Answer 14 · 2026-03-29 17:31:32

99

Views

Don't understand the algebraic passage to find the generating function

Published on 29 Mar 2026 - 17:31

score 3.2k · Answer 15 · 2017-02-09 21:39:40

3.2k

Views

What is a generating function in combinatorics?

Published on 09 Feb 2017 - 21:39

List Question

Is there a useful closed form for $\int \frac{x^{p/q}}{1-x}dx$?

what is the coefficient of $x^n$ in the expansion of the function $\frac{x}{1-x-x^2}$?

What's about the generating function for the Mertens function?

Generating function for a necklace with white and black beads such that for every white bead there are exactly three black beads that follow.

Generating functions finding $ a_n $ formula

How is this probability generating function in regard to branching obtained

Sum of Hermite functions with factorials

Generating functions - combinatorics problem of Mirko couting vehicles through the toll

super generating functions

How do I calculate the sum $\sum_{i=0}^n (-1)^{n-i}{{n}\choose{i}}f(i)$ if I know that $\sum_{n\geq0} f(n)\frac{x^n}{n!} = e^{x+\frac{x^2}{2}}$?

Sort of Prime number: ${p(n)=4n^2-4n-1}$

In how many ways can we roll a red die, a yellow die, and a black die, and get a sum of $9$?

When can formal power series be treated as functions?

Don't understand the algebraic passage to find the generating function

What is a generating function in combinatorics?

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